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# NCERT Solutions for Class 11 Maths Chapter 8 Exercise 8.2 Sequences and Series - PDF Download

NCERT solutions for class 11 maths chapter 8 exercise 8.2 sequences and series defines geometric progression, geometric mean (G.M.) and relationship between A.M. and G.M. A sequence is said to be a geometric progression or G.P., if the ratio of any term to its preceding term is the same throughout. This exercise also includes arithmetic mean questions, where the arithmetic mean is the average of a collection of numerical values that are added together and divided by the number of expressions in the set.

## Topics Covered in Exercise 8.2 Class 11 Mathematics Questions

Ex 8.2 class 11 maths ch 8 sequences and series explain the topics like geometric progression (G.P.), geometric mean (G.M.), relationship between A.M. and G.M. The detailed solutions are described here for your reference.

 1 Geometric Progression (G.P.) General term of a G.P Sum to n terms of a G.P Geometric Mean (G.M.) 2 Relationship Between A.M. and G.M.
1. Geometric Progression (G.P.)

A sequence is said to be a geometric progression or G.P., if the ratio of any term to its preceding term is the same throughout. This constant factor is called the common ratio. Usually, we denote the first term of a G.P. by a and its common ratio by r.

• General term of a G.P - The general or the nth term of G.P. is given by an = arn – 1 .

• Sum to n terms of a G.P

The sum Sn of the first n terms of G.P. is given by

$\mathbf{S}_n=\frac{a\left(r^n-1\right)}{r-1}$ or $\frac{a\left(1-r^n\right)}{1-r}$ , if  r ≠ 1

• Geometric Mean (G.M.)

The geometric mean (G.M.) of any two positive numbers a and b is given by √ab

1. Relationship Between A.M. and G.M.

Let A and G be A.M. and G.M. of two given positive real numbers a and b, respectively. Then

A= $\frac{a+b}{2}$ and G= √ab

The relation between A.M. and G.M. is A≥G

## Tips for Solving Exercise 8.2 Class 11 Chapter 8 Sequences and Series

To solve ex 8.2 class 11 maths chapter 8, our subject experts have comprised some useful tips and methods that will help you to solve questions in a simple way.

1. NCERT solutions class 11 maths chapter 8 ex 8.2 sequence and series contains logical derived formulas with accompanying explanations, which students must practice independently after reading through the exercise.

2. NCERT Solutions Class 11 Mathematics Chapter 8 Exercise 8.2 contains certain facts that will provide a comprehensive understanding of the subject matter.

3. Students must solve every question of ex 8.2 to have the complete knowledge of given concepts.

## Importance of Solving Ex 8.2 Class 11 Maths Chapter 8 Sequences And Series

Solving questions of ex 8.2 will help you in so many different ways. Students can find the benefits of solving exercise 8.2 class 11 maths here provided by subject experts of eSaral.

1. You must go through the properties of geometric progression and arithmetic to solve exercise questions.

2. NCERT solutions class 11 maths chapter 8 ex 8.2 has questions associated with the concepts of G.M. and A.M. which are solved by our expert teachers of eSaral. These solutions are provided for you to practice all the questions in sequential order.

3. NCERT solutions PDFs have included important questions and examples with their answers to help you prepare well for examinations.

4. By practicing questions again and again in NCERT solutions class 11 maths will boost your confidence for solving questions.

Question 1. Define geometric progressions (G.P.)?

Answer 1. A sequence is said to be a geometric progression or G.P., if the ratio of any term to its preceding term is the same throughout.

Question 2. What is the relationship between A.M. and G.M.?

Answer 2. The relation between A.M. and G.M. is A≥G.

Question 3. What do you mean by general term of G.P?

Answer 3. The general or the nth term of G.P. is given by an = arn – 1 .